Details

Time bar (total: 2.7s)

sample19.0ms

Algorithm
intervals
Results
9.0ms347×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.3b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
17.0ms
(* (* z z) (+ z 1.0))
12.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
65.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune105.0ms

Filtered
57 candidates to 33 candidates (57.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.2b
(/ x (* z z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
27.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series105.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
21.0ms
(/ x (* z z))

simplify60.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune228.0ms

Filtered
116 candidates to 77 candidates (66.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.4b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.6b
(* (/ x z) (/ y (+ z 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
27.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
22.0ms
(* (/ x z) (/ y (+ z 1.0)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
47.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
51.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07821119
14277918
25001910

prune280.0ms

Filtered
158 candidates to 96 candidates (60.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.3b
(/ (* (/ x z) (/ y (+ z 1.0))) z)
1.6b
(* (/ x z) (/ y (+ z 1.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
35×add-exp-log add-cbrt-cube
29×add-cube-cbrt
18×associate-*r*
14×cbrt-undiv div-exp
13×associate-*l*
8×prod-exp cbrt-unprod
7×associate-/r* distribute-lft-out
5×pow1
4×associate-/r/ div-inv associate-/l* unswap-sqr
3×associate-/l/ add-log-exp
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-+
1×pow-prod-down *-commutative
Counts
3 → 118
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
9.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
22.0ms
(* (/ x z) (/ y (+ z 1.0)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
51.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
52.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0617830
13222711
25003711

prune291.0ms

Filtered
127 candidates to 89 candidates (70.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

41.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.1b

bsearch43.0ms

Steps
ItersRangePoint
9
1.675202505809698e-289
9.06194705721438e-282
6.830503550778907e-289

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02616
12616

end0.0ms

sample529.0ms

Algorithm
intervals
Results
308.0ms10852×body80valid